一类厄尔尼诺/拉尼娜-南方涛动海-气振子的奇摄动解

厄尔尼诺/拉尼娜-南方涛动是涉及赤道太平洋中的一个海-气交互的年际现象.本文的目的是建立一类海-气振子模型的非线性奇摄动问题的渐近求解方法.并在一类海-气振子模型的基础上,借用奇摄动方法研究了对应问题的近似解.由奇摄动方法得到的结果分析厄尔尼诺/拉尼娜-南方涛动海-气振子模型的赤道太平洋的海表温度异常和气-海振子的温度深度异常.     

Asymptotic solving method for a seaben air oscillator model of atmospheric physics

In this paper, a class of coupled system for the El Ni no/La Ni na southern oscillation (ENSO) atmospheric physics oscillation model is considered. We propose an ENSO atmospheric physics model using a method from the asymptotic theory. It is indicated from the results that the asymptotic method can be used for analyzing the sea surface temperature anomaly and the thermocline depth anomaly of the atmosphere-ocean oscillation for the ENSO model in the equatorial Pacific.     

透明导电氧化物CuScO2的密度泛函理论研究

本文利用基于第一性原理的广义梯度近似方法分析研究透明导电氧化物CuScO2能带结构、态密度和杂质能级．计算结果表明,CuScO2的价带区主要由Cu的3d态和O的2p态构成,而导带区主要由Sc的3d态组成．在进行＋U修正之后,随着U参量的增加,CuScO2的导带区发生分裂导致导带扩大,带隙也随之扩大,表明＋U计算能较好地改进CuSc02带隙值;本文还比较分析了各种掺杂元素在CuSc02的杂质能级,发现Mg原子替位掺杂Sc能有效改善CuScO2的P型导电性能．     

Asymptotic solving method for sea-air coupled oscillator ENSO model

The ENSO is an interannual phenomenon involved in the tropical Pacific ocean-atmosphere interaction.In this article,we create an asymptotic solving method for the nonlinear system of the ENSO model.The asymptotic solution is obtained.And then we can furnish weather forecasts theoretically and other behaviors and rules for the atmosphere-ocean oscillator of the ENSO.     

Defect properties of CuCrO2: A density functional theory calculation

Using the first-principles methods,we study the formation energetics properties of intrinsic defects,and the charge doping properties of extrinsic defects in transparent conducting oxides CuCrO2.Intrinsic defects,some typical acceptortype,and donor-type extrinsic defects in their relevant charge state are considered.By systematically calculating the formation energies and transition energy,the results of calculation show that,V Cu,O i,and O Cu are the relevant intrinsic defects in CuCrO2 ;among these intrinsic defects,V Cu is the most efficient acceptor in CuCrO2.It is found that all the donor-type extrinsic defects have difficulty in inducing n-conductivity in CuCrO2 because of their deep transition energy level.For all the acceptor-type extrinsic defects,substituting Mg for Cr is the most prominent doping acceptor with relative shallow transition energy levels in CuCrO2.Our calculation results are expected to be a guide for preparing promising n-type and p-type materials in CuCrO2.     

各向异性磁化等离子体JEC-FDTD算法

将色散介质的电流密度卷积-时域有限差分(JEC-FDTD)算法推广到各向异性磁化等离子体色散介质.该算法同时解决了电磁波在各向异性和频率色散介质中传播的难题，给出了各向异性磁化等离子体JEC-FDTD算法的公式.计算磁化等离子体平板对平行于磁场传播的电磁波的反射和透射系数，通过与解析结果的比较，验证了该算法的高效性和高精度. 关键词： 色散介质 FDTD算法 各向异性 磁化等离子体     

底部加热空气层自然对流的可视化实验研究

本文对底部加热的水平空气层的自然对流换热进行了可视化实验研究,采用实时全息干涉照相技术获得了温度场的激光干涉图及流场的烟可视化图象。实验结果表明,这种水平空气层自然对流换热是非稳态的,并且在空间上是三维的。     

G2,n中的可兼共形调和曲面

本文通过建立复Ｇｒａｓｓｍａｎｎ流形Ｇ２，ｎ中调和曲面的Ｇａｕｓｓ丛的基本公式，在适当的拓扑条件下给出了Ｇ２，ｎ中可兼共形调和曲面的构造定理．推广和改进了Ｂｕｒｓｔａｌｌ和Ｗｏｏｄ的低亏格曲面的结果．     

A fixed point theorem for eventually nonexpansive semigroups of mappings

Let K be a subset of a Banach space X. A semigroup $\text{F}$ = {?_α ∥ α ∞ A} of Lipschitz mappings of K into itself is called eventually nonexpansive if the family of corresponding Lipschitz constants $\text{{k}{}_{\mathrm{\alpha }}\text{¦ α ? A}}$ satisfies the following condition: for every ? > 0, there is a γ?A such that k_β < 1 + ? whenever ?_β ? ?_γ$\text{F}$ = {?_gg?_α ¦ ?_α ? $\text{F}$}. It is shown that if K is a nonempty, closed, convex, and bounded subset of a uniformly convex Banach space, and if $\text{F}$:K → K is an eventually nonexpansive, commutative, linearly ordered semigroup of mappings, then $\text{F}$ has a common fixed point. This result generalizes a fixed point theorem by Goebel and Kirk.